Dynamic characterization of a stochastic SIR infectious disease model with dual perturbation

نویسندگان

چکیده

Environmental perturbations are unavoidable in the propagation of infectious diseases. In this paper, we introduce stochasticity into susceptible–infected–recovered (SIR) model via parameter perturbation method. The stochastic disturbances associated with disease transmission coefficient and mortality rate presented two perturbations: Gaussian white noise Lévy jumps, respectively. This idea provides an overview dynamics under different random scenarios. By using new techniques methods, study certain interesting asymptotic properties our perturbed model, namely: persistence mean, ergodicity extinction disease. For illustrative purposes, numerical examples for checking theoretical study.

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ژورنال

عنوان ژورنال: International Journal of Biomathematics

سال: 2021

ISSN: ['1793-7159', '1793-5245']

DOI: https://doi.org/10.1142/s1793524521500169